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[00858] An adaptive spectral method for oscillatory second-order linear ODEs with frequency-independent cost

  • Session Time & Room : 3D (Aug.23, 15:30-17:10) @E606
  • Type : Contributed Talk
  • Abstract : I will introduce an efficient method for solving 2nd order, linear ODEs whose solution may vary between highly oscillatory and slowly changing over the solution interval. Within a marching scheme, the solution is generated either via a nonoscillatory phase function (computed by defect correction), or spectral collocation, whichever is more efficient for the current timestep. With numerical experiments I will show that our algorithm outperforms other state-of-the-art oscillatory solvers and has a frequency-independent runtime.
  • Classification : 65Lxx, 34E05, 65L60, 34-04, 65Gxx
  • Format : Talk at Waseda University
  • Author(s) :
    • Fruzsina Julia Agocs (Center for Computational Mathematics, Flatiron Institute)
    • Alex Harvey Barnett (Center for Computational Mathematics, Flatiron Institute)